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Approximating Automata and Discrete Control for Continuous Systems — Two Examples from Process Control

  • Jörg Raisch
  • Eberhard Klein
  • Christian Meder
  • Alexander Itigin
  • Siu O’Young
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1567)

Abstract

A standard problem in hybrid control systems theory is to design discrete, or symbolic, feedback for a given continuous plant.When specifications are discrete, this problem can be solved by first approximating the continuous plant model by a (nondeterministic) automaton, and then synthesizing discrete (supervisory) control for the automaton. A necessary condition is that the approximation behaviour contains the behaviour of the underlying continuous plant model. Then, any controller forcing the approximation to obey the specifications will also force the continuous model to satisfy the specifications. We use a version of this approach which allows adjustment of approximation accuracy to address two simple process control problems: supervisory control of a three-tank laboratory experiment and safety enforcement for an evaporator. In both cases, the entire design process is carried through: we first determine a suitable abstraction, compute the minimally restrictive supervisor, and then present examples for closed loop trajectories.

Keywords

Sodium Chloride Solution Discrete Approximation Supervisory Control Discrete Event System Sampling Instant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Jörg Raisch
    • 1
  • Eberhard Klein
    • 2
  • Christian Meder
    • 2
  • Alexander Itigin
    • 2
  • Siu O’Young
    • 3
  1. 1.Max-Planck-Institut für Dynamik komplexer technischer SystemeMagdeburgFR Germany
  2. 2.Institut für Systemdynamik und RegelungstechnikStuttgartFR Germany
  3. 3.Faculty of Engineering and Applied ScienceMemorial University of Newfoundland St. John’sNewfoundlandCanada

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